Parker Plumbing has received a special one-time order for 1,400 faucets (units) at $3 per unit. Parker currently produces and sells 5,200 units at $4.0 each. This level represents 75% of its capacity. Production costs for these units are $2.5 per unit, which includes $1 variable cost and $1.5 fixed cost. To produce the special order, a new machine needs to be purchased at a cost of $1,000 with a zero salvage value. Management expects no other changes in costs as a result of the additional production. If Parker wishes to earn $950 on the special order, the size of the order would need to be: A. 1,400 units. B. 475 units. C. 1,950 units. D. 975 units. E. 467 units.

Parker Plumbing has received a special one-time order for 1,400 faucets (units) at $3 per unit. Parker currently produces and sells 5,200 units at $4.0 each. This level represents 75% of its capacity. Production costs for these units are $2.5 per unit, which includes $1 variable cost and $1.5 fixed cost. To produce the special order, a new machine needs to be purchased at a cost of $1,000 with a zero salvage value. Management expects no other changes in costs as a result of the additional production. If Parker wishes to earn $950 on the special order, the size of the order would need to be: A. 1,400 units. B. 475 units. C. 1,950 units. D. 975 units. E. 467 units.

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter11: Linear Optimization Models

Section: Chapter Questions

Problem 7P: Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are...

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Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: The shaper is available for 120 hours, and the grinder for 110 hours. No more than 200 units of component 3 can be sold, but up to 1,000 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are 8, 6, and 9, respectively. a. Formulate and solve for the recommended production quantities. b. What are the objective coefficient ranges for the three components? Interpret these ranges for company management. c. What are the right-hand-side ranges? Interpret these ranges for company management. d. If more time could be made available on the grinder, how much would it be worth? e. If more units of component 3 can be sold by reducing the sales price by 4, should the company reduce the price?
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Parker plumbing has received a special one time order for 1,400 faucets at $3 per unit....